a general metrics g00=grr-1= (1+a_1L/r +a2 L2/r_2+ … +c_1r + c_2r2 + …)exp(b1 L/r +b2 L/r~2+ … +d1 r+d_2r~2+ … ) is suggested. Then we discuss the existential condition on the black hole and the transformation from a gravitation into a repulsion
etc
for this metrics. It is a possible theoritical explanation for the repulsion which probably exists at short-distanoe.